If two triangles are congruent, then the corresponding angles are equal. State whether the statement is true or false.

Solution:

Given, if two triangles are congruent, then the corresponding angles are equal.

We have to determine if the given statement is true or false.

If two figures have the same shape and the same size, then they are said to be congruent figures.

Two triangles are congruent, if they have same sides and equal angles.

This implies the two triangles will overlap over each other exactly.

Corresponding parts of congruent triangles or cpct tell us that corresponding sides and corresponding angles of the two triangles which are congruent are equal.

By CPCT,

The corresponding angles are equal.

Therefore, the given statement is true.

✦ Try This: If two triangles are congruent, then the corresponding sides are equal. State whether the statement is true or false.

☛ Also Check: NCERT Solutions for Class 7 Maths Chapter 6

NCERT Exemplar Class 7 Maths Chapter 6 Problem 101

If two triangles are congruent, then the corresponding angles are equal. State whether the statement is true or false.

Summary:

The given statement,”If two triangles are congruent, then the corresponding angles are equal” is true.

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